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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 15600.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15600.bw1 | 15600cp1 | \([0, 1, 0, -18208, 977588]\) | \(-417267265/19773\) | \(-31636800000000\) | \([]\) | \(46080\) | \(1.3532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.bw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15600.bw do not have complex multiplication.Modular form 15600.2.a.bw
sage: E.q_eigenform(10)